Fraction Review
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Questions and Answers

What is the numerator in a fraction?

  • The top number (correct)
  • The sum of the top and bottom numbers
  • The bottom number
  • The difference between the top and bottom numbers

What is the main rule to simplify a fraction?

  • Divide both the numerator and denominator by the largest number that will divide evenly into both (correct)
  • Subtract the numerator from the denominator
  • Add the numerator and denominator
  • Multiply the numerator and denominator by 2

What is the result of multiplying two fractions?

  • The product of the numerators and the product of the denominators (correct)
  • The difference between the numerators and the difference between the denominators
  • The product of the numerators and the sum of the denominators
  • The sum of the numerators and the product of the denominators

What does it mean for a fraction to be simplified?

<p>The numerator and denominator have no factors in common other than 1 (D)</p> Signup and view all the answers

What is the purpose of simplifying fractions?

<p>To make the fraction easier to work with (C)</p> Signup and view all the answers

What is the correct method to multiply fractions?

<p>Multiply the first fraction by the reciprocal of the second fraction (D)</p> Signup and view all the answers

What is the requirement for adding or subtracting fractions?

<p>Denominators must be the same (D)</p> Signup and view all the answers

What is the result of multiplying $2/3$ and $5/7$?

<p>10/21 (A)</p> Signup and view all the answers

What is the result of adding $3/5$ and $2/5$?

<p>5/5 (C)</p> Signup and view all the answers

What is the result of subtracting $3/7$ from $5/7$?

<p>2/7 (B)</p> Signup and view all the answers

Study Notes

Fraction Basics

  • A fraction consists of two numbers: a numerator (the top number) and a denominator (the bottom number).
  • Numerator represents the number of parts, while denominator represents the number of parts that make a whole.

Simplifying Fractions

  • A fraction is simplified if the numerator and denominator have no factors in common other than 1.
  • To simplify a fraction, divide both the numerator and denominator by the largest number that will divide evenly into both.

Examples of Simplified Fractions

  • 16/60 = 1/6
  • 75/120 = 5/8
  • 7/18 = 7/18
  • 10xy/15y = 2x/3y
  • 5/15 = 1/3
  • 13/26 = 1/2

Multiplying Fractions

  • Multiply straight across, numerator times numerator and denominator times denominator.
  • Simplify, if possible.

Examples of Multiplying Fractions

  • 3/1 × 4/5 = 12/5
  • 11/3y × 3/5y = 33y/15y
  • 2/5 × 5/5 = 2/5
  • 9a/2 × 10/5 = 9a/1

Dividing Fractions

  • Multiply the first fraction by the reciprocal (flip) of the second fraction.

Examples of Dividing Fractions

  • 2/5 ÷ 3/1 = 2/5 × 1/3 = 2/15
  • 3y/5y ÷ 6y/3y = 3y/5y × 3y/6y = 1/2
  • 7/x ÷ 2/5 = 7/x × 5/2 = 35/2x

Adding or Subtracting Fractions

  • DENOMINATORS must be the SAME to add or subtract fractions.
  • Get a common denominator, if needed, then add or subtract the numerators and keep the common denominator.
  • Simplify, if possible.

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Fraction Review PDF

Description

Learn about fractions, including numerator, denominator, and simplification.

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